Respuesta :

3x - 20 + 3x + 5 = 111

Combine like terms
6x - 15 = 111

Add 15 to each side.

Evaluate
6x = 126
x = 21

Plug x back into the equation for angle EFG.
EFG = 3x -20
3(21) - 20
EFG = 43 degrees

Answer:

[tex] m\angle EFG =43\degree[/tex]

Step-by-step explanation:

[tex] m\angle EFG +m\angle GFH = m\angle EFH\\\\

(3x-20)\degree + (3x+5)\degree =111\degree \\\\

(3x-20+3x +5)\degree =111\degree \\\\

(6x-15)\degree =111\degree \\\\

(6x-15) =111 \\\\

6x = 111 + 15\\\\

6x = 126\\\\

x = \frac{126}{6}\\\\

x = 21\\\\

m\angle EFG = (3x-20)\degree\\\\

m\angle EFG = (3\times 21-20)\degree\\\\

m\angle EFG = (63-20)\degree\\\\

m\angle EFG =43\degree\\[/tex]

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